Search a number
-
+
20882894958 = 234475351749
BaseRepresentation
bin10011011100101101…
…111011000001101110
31222220100211222110000
4103130231323001232
5320232010114313
613332104525130
71336332451452
oct233455730156
958810758400
1020882894958
118946939082
1240697807a6
131c7a5927a3
14102166c662
15823519673
hex4dcb7b06e

20882894958 has 80 divisors (see below), whose sum is σ = 48691368000. Its totient is φ = 6684185664.

The previous prime is 20882894957. The next prime is 20882894993. The reversal of 20882894958 is 85949828802.

It is a junction number, because it is equal to n+sod(n) for n = 20882894895 and 20882894904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20882894957) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 377668 + ... + 429416.

It is an arithmetic number, because the mean of its divisors is an integer number (608642100).

Almost surely, 220882894958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20882894958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24345684000).

20882894958 is an abundant number, since it is smaller than the sum of its proper divisors (27808473042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20882894958 is a wasteful number, since it uses less digits than its factorization.

20882894958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51863 (or 51854 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 20882894958 in words is "twenty billion, eight hundred eighty-two million, eight hundred ninety-four thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 47 53 54 81 94 106 141 159 162 282 318 423 477 846 954 1269 1431 2491 2538 2862 3807 4293 4982 7473 7614 8586 14946 22419 44838 51749 67257 103498 134514 155247 201771 310494 403542 465741 931482 1397223 2432203 2742697 2794446 4191669 4864406 5485394 7296609 8228091 8383338 14593218 16456182 21889827 24684273 43779654 49368546 65669481 74052819 128906759 131338962 148105638 197008443 222158457 257813518 386720277 394016886 444316914 773440554 1160160831 2320321662 3480482493 6960964986 10441447479 20882894958